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222068352 = 27311192767
BaseRepresentation
bin11010011110001…
…11111010000000
3120110212020111210
431033013322000
5423322141402
634011410120
75334356412
oct1517077200
9513766453
10222068352
11104396270
1262453940
1337012cbc
14216c89b2
151476806c
hexd3c7e80

222068352 has 128 divisors (see below), whose sum is σ = 677606400. Its totient is φ = 63728640.

The previous prime is 222068347. The next prime is 222068387. The reversal of 222068352 is 253860222.

222068352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78873 + ... + 81639.

It is an arithmetic number, because the mean of its divisors is an integer number (5293800).

Almost surely, 2222068352 is an apocalyptic number.

222068352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338803200).

222068352 is an abundant number, since it is smaller than the sum of its proper divisors (455538048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222068352 is a wasteful number, since it uses less digits than its factorization.

222068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 222068352 is about 14901.9579921566. The cubic root of 222068352 is about 605.5670316236.

The spelling of 222068352 in words is "two hundred twenty-two million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2767 3344 3648 4224 5016 5534 6688 7296 8301 10032 11068 13376 16602 20064 22136 26752 30437 33204 40128 44272 52573 60874 66408 80256 88544 91311 105146 121748 132816 157719 177088 182622 210292 243496 265632 315438 354176 365244 420584 486992 531264 578303 630876 730488 841168 973984 1062528 1156606 1261752 1460976 1682336 1734909 1947968 2313212 2523504 2921952 3364672 3469818 3895936 4626424 5047008 5843904 6729344 6939636 9252848 10094016 11687808 13879272 18505696 20188032 27758544 37011392 55517088 74022784 111034176 222068352